You can also try contacting Fedex and ask if you can arrange with them for packages to be and the driver sign and you take responsibility for loss if it goes missing.
Fedex can be funny about it though because it depends on the driver. We have even had drivers refuse to deliver on packages we ship out when there is no signature requirement and it can be simply because the driver is worried that it may be stolen if left.
Worth talking to them.
UPS is another matter, I have received packages that should have been signed for and they have just dumped them on the driveway and driven off, with one package there was a driver and a helper and they threw the box out of the moving vehicle without stopping and getting a signature and simply signed it themselves.
Like I said, when the tracking number is available you may be able to make arrangements with Fedex or UPS for it to be left without signature or with a neighbor.
Always talk to them and ask them what to do.
I'm okay, both carriers usually turn out about 7pm and sometimes even later in my area, thankfully I work from home and I will work round the delivery and make sure that I don't go anywhere on the delivery day.